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denis-greek [22]
3 years ago
9

Find the x and y value of this triangle using the Pythagorean Theorem.

Mathematics
1 answer:
guapka [62]3 years ago
6 0

Answer:

cos60⁰=3/y

y×cos60⁰=3

y=3/cos60⁰

y=3/0.5

y=6

y²=x²+3²

6²=x²+3²

36=x²+9

x²=36-9

x²=27

x=square root of 27

x=5.19

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Solve the following system of equations for all three variables.
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Step-by-step explanation:

-2x + 3y – 4z = 8    ----------------(I)

5x – 3y + 5z = -8    -----------------(II)

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Add equation (I) & (II) and thus y will be eliminated

(I)        -2x + 3y – 4z = 8

(II)        <u>5x – 3y + 5z = -8</u>    {Add}

           3x          + z  = 0   ------------------------(A)

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(II) * (-1)         -5x + 3y - 5z = +8

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Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x

(A) * 2          6x + 2z = 0

(B)                 <u>2x - 2z  = 16</u>   {Add}

                     8x         = 16

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Plug in x = 2 and z  = - 6 in equation (I)

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               3y = 8 - 20

               3y = -12

                 y = -12/3

y = -4

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